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Methods of the Perturbation Theory for Fundamental Solutions to the Generalization of the Fractional Laplaciane

In: Numerical Simulation - Advanced Techniques for Science and Engineering

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  • Mykola Ivanovich Yaremenko

Abstract

We study the regularity properties of the solutions to the fractional Laplacian equation with perturbations. The Harnack inequality of a weak solution u?WspRl to the fractional Laplacian problem is established, and the oscillation of the solution to the fractional Laplacian is estimated. We show that let 1

Suggested Citation

  • Mykola Ivanovich Yaremenko, 2023. "Methods of the Perturbation Theory for Fundamental Solutions to the Generalization of the Fractional Laplaciane," Chapters, in: Ali Soofastaei (ed.), Numerical Simulation - Advanced Techniques for Science and Engineering, IntechOpen.
    • Handle: RePEc:ito:pchaps:303021
    DOI: 10.5772/intechopen.109366
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